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A characterization of chaotic order

Journal of Inequalities and Applications volume 2006, Article number: 79123 (2006) Cite this article

Abstract

The chaotic order among positive invertible operators on a Hilbert space is introduced by. Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that if and only if holds for any, where is any fixed positive number. On the other hand, for any fixed, we also show that there exist positive invertible operators, such that holds for any, but is not valid.

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Authors and Affiliations

  1. Department of Mathematics, Henan Normal University, Xinxiang, Henan, 453007, China

    Changsen Yang & Fugen Gao

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  1. Changsen Yang
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  2. Fugen Gao
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Correspondence to Changsen Yang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yang, C., Gao, F. A characterization of chaotic order. J Inequal Appl 2006, 79123 (2006). https://doi.org/10.1155/JIA/2006/79123

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  • DOI: https://doi.org/10.1155/JIA/2006/79123

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